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Finding the Fourth Proportional to 905.53, 1,357.47 and 328.27

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Solution

The fourth proportional to 905.53, 1,357.47 and 328.27 is: 492.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.53 : 1,357.47 = 328.27 : x
  2. Step 2: Convert to fraction form
    905.53/1,357.47 = 328.27/x
  3. Step 3: Cross multiply
    905.53x = 1,357.47 × 328.27
  4. Step 4: Simplify right side
    905.53x = 445,616.68
  5. Step 5: Solve for x
    x = 445,616.68/905.53
  6. Step 6: Final answer
    x = 492.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.